Identifying Exponential Growth and Decay

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?

• 9766

• 9006

• 9765

• 5433

Tags

CCSS.HSF.BF.A.2

A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?

• 14327

• 4309

• 839

• 7680

Tags

CCSS.HSF-LE.A.1C

Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has increased about 5% per year. How much is the home worth today?

• $176,783.29

• $424,527.63

• $57,357.75

• $532,041,076.80

Tags

CCSS.HSF.BF.A.2

The population of Bloom Falls, Mass. (population 937) is slowly moving to a bigger city.
Every year the population drops by 4.5%. What is the population after 3 years?

• 1,069 people

• 894 people

• 816 people

• 854 people

Tags

CCSS.HSF-LE.A.1C

What indicates growth or decay in f(x)= a⋅b^x

• If b is positive or negative

• If b is between 0 and 1 OR greater than 1

• If a is positive or negative

• If a is between 0 and 1 OR greater than 1

Tags

CCSS.HSF-IF.C.8B

Write the exponential function shows the deposit of $15 in the bank that has an annual increase of 35%? Write your answer with y=

Mathematical Equivalence

ON

Tags

CCSS.HSF.LE.A.2

Is the following function and example of decay or growth?

f(x)=2(0.85)^x

• Exponential Decay

• Exponential Growth

Tags

CCSS.HSF-IF.C.8B

Is this exponential growth or decay?

• Growth

• Decay

Tags

CCSS.HSF-IF.C.8B

A radioactive substance decays at a rate of 5% per year. If the initial amount of the substance was 100 grams, how much will remain after 20 years?

• 35.85 grams

• 37.69 grams

• 40.10 grams

• 42.58 grams

Tags

CCSS.HSF.LE.A.4

• The graph is decreasing.

• The graph passes through the point (0,1).

Tags

CCSS.HSF-IF.C.7E